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Question
Sana and Fatima participated in an apple race. The race was conducted in 6 parts. In the first part, Sana won by 10 seconds. In the second part she lost by 1 minute, then won by 20 seconds in the third part and lost by 25 seconds in the fourth part, she lost by 37 seconds in the fifth part and won by 12 seconds in the last part. Who won the race finally?
Solution
Taking winning by time be a positive integer and losing by time be a negative integer.
∴ Sana’s total time (winning/losing)
= (10 – 60 + 20 – 25 – 37 + 12) seconds
= (42 – 122) seconds
= – 80 seconds
Hence, Sana lost the race by 80 seconds or 1 min. 20 seconds.
i.e., Fatima won the race finally.
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